190 citations · 1.4k across the 62 of their papers we have counts for
16 papers · 1 filter
On the combinatorics of Lotka-Volterra equations
Francesco Caravelli, Yen Ting Lin
We study an approach to obtaining the exact formal solution of the 2-species Lotka-Volterra equation based on combinatorics and generating functions. By employing a combination of…
Cycle equivalence classes, orthogonal Weingarten calculus, and the mean field theory of memristive systems
Francesco Caravelli
It has been recently noted that for a class of dynamical systems with explicit conservation laws represented via projector operators the dynamics can be understood in terms of lowe…
Complex field reversal dynamics in nanomagnetic systems
Michael Saccone, Francesco Caravelli
Nanomagnetic materials, built from thin, patterned films of ferromagnetic materials, began as analogues to frustrated magnetism. Their low energy of operation and emergent properti…
Some exactly solvable and tunable frustrated spin models
Francesco Caravelli
We discuss three exactly solvable spin models of geometric frustration. First, we discuss a 1-parameter subfamily of the 16 vertex model, which can be mapped to a planar Ising mode…
Memristive effects in nanopatterned permalloy Kagomé array
Wesley B. J. Fonseca, Flavio Garcia, Francesco Caravelli +1
We study memristive effects in Kagomé nanopatterned permalloy. We observe that at low frequencies a thermistor effect is present, a phenomenon arising due to the lithography and ab…
The Bellman equation and optimal local flipping strategies for kinetic Ising models
Francesco Caravelli
There is a deep connection between thermodynamics, information and work extraction. Ever since the birth of thermodynamics, various types of Maxwell demons have been introduced in…
Macroscopic Magnetic Monopoles in a 3D-Printed Mechano-Magnet
Hamilton A. Teixeira, Maria F. Bernardo, Michael D. Saccone +3
The notion of magnetic monopoles has puzzled physicists since the introduction of Maxwell's Equations and famously Dirac had hypothesized them in the context of quantum mechanics.…
"Spectrally gapped" random walks on networks: a Mean First Passage Time formula
Silvia Bartolucci, Fabio Caccioli, Francesco Caravelli +1
We derive an approximate but explicit formula for the Mean First Passage Time of a random walker between a source and a target node of a directed and weighted network. The formula…
On the Degeneracy of Spin Ice Graphs, and its Estimate via the Bethe Permanent
Francesco Caravelli, Michael Saccone, Cristiano Nisoli
The concept of spin ice can be extended to a general graph. We study the degeneracy of spin ice graph on arbitrary interaction structures via graph theory. Via the mapping of spin…
Phases of memristive circuits via an interacting disorder approach
Francesco Caravelli, Forrest C. Sheldon
We study the phase diagram of memristive circuit models in the replica-symmetric case using a novel Lyapunov function for the dynamics of these devices. Effectively, the model we p…
A model for the Mediated Artificial Square Ice phenomenology
Francesco Caravelli
In the present Letter we discuss the origin of the vertex population inversion observed experimentally in the mediated Artificial Square Ice. An interaction modifier is a disc-shap…
On a "continuum" formulation of the Ising model partition function
Francesco Caravelli
We derive an exact path integral formulation for the partition function for the Ising model using a mapping between spins and poles of a Laurent expansion for a field on the comple…
Emergence of strongly connected giant components in continuum disk-spin percolation
Francesco Caravelli, Marco Bardoscia, Fabio Caccioli
We propose a continuum model of percolation in two dimensions for overlapping disks with spin. In this model the existence of bonds is determined by the distance between the center…
On moments of the integrated exponential Brownian motion
Francesco Caravelli, Toufik Mansour, Lorenzo Sindoni +1
We present new exact expressions for a class of moments for the geometric Brownian motion, in terms of determinants, obtained using a recurrence relation and combinatorial argument…
Ranking nodes according to their path-complexity
Francesco Caravelli
Thermalization is one of the most important phenomena in statistical physics. Often, the transition probabilities between different states in the phase space is or can be approxima…
Quantum quenches and thermalization on scale-free graphs
Francesco Caravelli
We show that after a quantum quench of the parameter controlling the number of particles in a Fermi-Hubbard model on scale free graphs, the distribution of energy modes follows a p…